6x+7(x-7)=16

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Solution for 6x+7(x-7)=16 equation:


Simplifying
6x + 7(x + -7) = 16

Reorder the terms:
6x + 7(-7 + x) = 16
6x + (-7 * 7 + x * 7) = 16
6x + (-49 + 7x) = 16

Reorder the terms:
-49 + 6x + 7x = 16

Combine like terms: 6x + 7x = 13x
-49 + 13x = 16

Solving
-49 + 13x = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 13x = 16 + 49

Combine like terms: -49 + 49 = 0
0 + 13x = 16 + 49
13x = 16 + 49

Combine like terms: 16 + 49 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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